A card is drawn at random from a well-shuffle | vedclass

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(B) The total number of cards in a well-shuffled pack is $n(S) = 52$.There are two black suits in a deck of cards: Spades and Clubs.Each suit contains

Vedclass · Accepted Answer

$\frac{1}{26}$

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(B) The total number of cards in a well-shuffled pack is $n(S) = 52$.There are two black suits in a deck of cards: Spades and Clubs.Each suit contains exactly one king.Therefore,the number of kings of a black suit is $n(E) = 2$ (one King of Spades and one King of Clubs).The probability $P(E)$ of drawing a king of a black suit is given by the formula $P(E) = \frac{n(E)}{n(S)}$.Substituting the values,we get $P(E) = \frac{2}{52} = \frac{1}{26}$.

$A$ card is drawn at random from a well-shuffled pack of $52$ cards. Find the probability that the card drawn is a king of a black suit.

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